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Finding the Fourth Proportional to 9,588.48, 14,387.04 and 8,208.96

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Solution

The fourth proportional to 9,588.48, 14,387.04 and 8,208.96 is: 12,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.48 : 14,387.04 = 8,208.96 : x
  2. Step 2: Convert to fraction form
    9,588.48/14,387.04 = 8,208.96/x
  3. Step 3: Cross multiply
    9,588.48x = 14,387.04 × 8,208.96
  4. Step 4: Simplify right side
    9,588.48x = 118,102,635.88
  5. Step 5: Solve for x
    x = 118,102,635.88/9,588.48
  6. Step 6: Final answer
    x = 12,317.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.